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2 years ago

20 POINTS, please help!!Factor the algebraic expression below in terms of a single trigonometric function.

1 answer:

6 0

Csc²x - 1

1/sin²x - 1

1/sin²x - sin²x / sin²x

(1 - sin²x) / sin²x

Recall that sin²x + cos²x = 1

So cos²x = 1 - sin²x

So we can replace numerator to cos²x

cos²x / sin²x

= cot²x

Final answer: cot²x

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There are 340 freshman at BHSS. This is one hundred less than two times the number of sophomores. Find the number of sophomores

natta225 [31]

To put it into an equation, it would be:

340 = 2x - 100

with x being the amount of sophomores at BHSS.

Solve it:

340 + 100 = 2x

2x = 440

x = 220

The number of sophomores at BHSS is 220.

5 0

3 years ago

5√-54 in simplest radical form

rjkz [21]

YOUR ANSWER IS 15i radical 6

7 0

3 years ago

How many 7-digit phone numbers are possible, assuming that the first digit can’t be a 0 or a 1? (b) re-solve (a), except now ass

sladkih [1.3K]

A. We are going to form 7 digit numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

where the first digit cannot be 0 or 1.

so we have 8 choices for the 1. digit, and 10 choices for all the other 6 digits.

this means there are $8*10*10*10*10*10*10=8* 10^{6}$ possible numbers.

b.

consider the numbers which start with 911. There are $10*10*10*10=10 ^{4}$ such numbers, since for the 4th, 5th, 6th and 7th digits we have 10 choices.

then we remove this number, from the one we found in a:

There are in total $8* 10^{6}-10^{4}=7,990,000$ numbers which don't start with 911.

Answer:

a. $8*10^{6}$
b.7,990,000

3 0

3 years ago

Find the missing measures. Write your numerical answers only with a comma in between.

Katen [24]

Answer:

m∠T = 72°

m∠U = 54°

Step-by-step explanation:

Property of an isosceles triangle,

Opposite angles of two equal sides of an isosceles triangle are equal in measure.

By this property, in the given triangle STU,

Since, ST ≅ TU,

m∠S = m∠U = 54°

Since, sum of interior angles of a triangle is 180°

m∠T + m∠S + m∠U = 180°

m∠T + 54° + 54° = 180°

m∠T = 180° - 108°

m∠T = 72°

7 0

2 years ago

PLEASE ANSWER I WILL MARK AS BRAINLIEST

Tomtit [17]

Answer:

Six

Step-by-step explanation:

1.Convert all volumes to millilitres

(a) Chlorpheniramine

V = 100 mL

(b) Lidocaine

$V = \text{2 fl oz} \times \dfrac{\text{29.57 mL}}{\text{1 fl oz}} = \textbf{59 mL}$

(c) Banana flavouring

$V = \dfrac{1}{2}\text{ tsp} \times \dfrac{\text{4.928 mL}}{\text{1 tsp}} = \textbf{2.5 mL }$

2. Calculate the total volume

Chlorpheniramine = 100 mL

Lidocaine = 59

Banana flavouring = <u> 2.5 </u>

TOTAL = 162 mL

3. Calculate the number of doses

$\text{Doses} = \text{162 mL} \times \dfrac{\text{1 dose}}{\text{10 mL}} = \text{16.2 doses}\\\\\text{You can't take a fraction of a dose, so the there are $\large \boxed{\textbf{16 doses}}$}$

5 0

2 years ago